Finite Group Databasebeta

← C2×#11738031 #14233597

Subgroups — C2×#11738031 #14233597

Order 1792.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90362C211yesmaximal, characteristic
2C2×#90260C211yesmaximal, characteristic, complemented
3C2×C7×#464C211yesmaximal, characteristic
4C2×#89954C211yesmaximal, characteristic, complemented
5C2×#89956C211yesmaximal, characteristic, complemented
6C2×#89938C211yesmaximal, characteristic
7C2×#89936C211yesmaximal, characteristic
8C2×#89828C211yesmaximal, characteristic
9C2×C4×#1144C211yesmaximal, characteristic, complemented
10#11738031C2116yesmaximal, direct product factor
11C2×#89601C211yesmaximal, characteristic, complemented
12C2×#89603C211yesmaximal, characteristic, complemented
13C2×#89569C211yesmaximal, characteristic, complemented
14C2×#89566C211yesmaximal, characteristic, complemented
15C2×#89537C211yesmaximal, characteristic
16C2×#89535C211yesmaximal, characteristic
17C22×C7×Q16C2211yescharacteristic
18C22×C7×SD16C2211yescharacteristic
19C2×C7×#124C2211yescharacteristic
20C2×C4×C7×Q8C2211yescharacteristic
21C2×Q8×Dic7C2211yescharacteristic
22C2×Q8×Dic7C2211yescharacteristic
23C2×Q8×Dic7C2211yescharacteristic
24C2×#6507C2211yescharacteristic
25C22×#1144C2211yescharacteristic
26C2×#6499C2211yescharacteristic
27C2×D4×Dic7C2211yescharacteristic
28#90362—24no—
29#90362C2218yes—
30#90260—24no—
31#90260C2218yescomplemented
32C2×#6453—21no—
33C2×#6453C2211yescharacteristic
34C2×#6451—21no—
35C2×#6451C2211yescharacteristic
36C2×#6442—21no—
37C2×#6442—21no—
38C2×#6441—21no—
39C2×#6440—21no—
40C2×#6433—21no—
41C2×#6433C2211yescharacteristic
42C2×C4×Dic14—21no—
43C2×C4×Dic14C2211yescharacteristic
44C2×C4×Dic14C2211yescharacteristic
45C7×#464C2218yes—
46C2×C7×C4⋊C8C2211yescharacteristic
47C2×C7×#103C2211yescharacteristic
48C2×C7×#102C2211yescharacteristic
49C2×#6409C2211yescharacteristic
50C2×#6409C2211yescharacteristic
51C2×#6409C2211yescharacteristic
52C2×#6406C2211yescharacteristic
53C2×#6406C2211yescharacteristic
54#89956C2218yescomplemented
55#89954C2218yescomplemented
56#89938C2218yes—
57#89936C2218yes—
58C2×#6392C2211yescharacteristic
59C2×#6391C2211yescharacteristic
60C2×#6390C2211yescharacteristic
61C2×#6390C2211yescharacteristic
62C2×#6389C2211yescharacteristic
63C2×#6389C2211yescharacteristic
64C2×Dic7⋊C8C2211yescharacteristic
65C2×Dic7⋊C8C2211yescharacteristic
66#89828C2218yes—
67C4×#1144C2218yescomplemented
68C2×#6384C2211yescharacteristic
69C2×#6381C2211yescharacteristic
70C2×C4×C7⋊C8C2211yescharacteristic
71#89603C2218yescomplemented
72#89601C2218yescomplemented
73#89569C2218yescomplemented
74#89566C2218yescomplemented
75#89537C2218yes—
76#89535C2218yes—
77C2×#3377—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×C7×Q8C2311yescharacteristic
80C22×C7×D4C2311yescharacteristic
81C23×Dic7—21no—
82C22×Dic14—21no—
83C22×Dic14D411yescharacteristic
84C22×Dic14C2311yescharacteristic
85C2×C7×Q16—24no—
86C2×C7×Q16C2314yes—
87C2×C7×SD16—24no—
88C2×C7×SD16C2314yes—
89C22×C7×C8C2311yescharacteristic
90C22×C7×C8C2311yescharacteristic
91C7×#124—22no—
92C7×#124C2314yes—
93C4×C7×Q8—22no—
94C4×C7×Q8C2314yes—
95C2×C7×C4⋊C4—21no—
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C22⋊C4—21no—
98C2×C7×C22⋊C4—21no—
99C2×C42×C7—21no—
100C2×C42×C7C2311yescharacteristic
101C2×C22⋊Dic7—21no—
102C2×C22⋊Dic7—21no—
103C2×C22⋊Dic7—21no—
104Q8×Dic7—22no—
105Q8×Dic7—22no—
106Q8×Dic7—22no—
107Q8×Dic7C2314yes—
108Q8×Dic7C2314yes—
109Q8×Dic7C2314yes—
110#6507—22no—
111#6507C2314yes—
112C2×#1144—24no—
113C2×#1144C2314yes—
114#6499—22no—
115#6499C2314yes—
116D4×Dic7—22no—
117D4×Dic7C2314yes—
118C2×C4⋊Dic7—21no—
119C2×C4⋊Dic7—21no—
120C2×C4⋊Dic7—21no—
121C2×C4⋊Dic7—21no—
122C2×C4⋊Dic7D411yescharacteristic
123C2×C4⋊Dic7C2311yescharacteristic
124C2×C4⋊Dic7C2311yescharacteristic
125C2×C4⋊Dic7C2311yescharacteristic
126C2×Dic7⋊C4—21no—
127C2×Dic7⋊C4—21no—
128C2×Dic7⋊C4—21no—
129C2×Dic7⋊C4—21no—
130C2×Dic7⋊C4—21no—
131C2×Dic7⋊C4—21no—
132C2×Dic7⋊C4—21no—
133C2×Dic7⋊C4D411yescharacteristic
134C2×Dic7⋊C4D411yescharacteristic
135C2×C4×Dic7—21no—
136C2×C4×Dic7—21no—
137C2×C4×Dic7—21no—
138C2×C4×Dic7—21no—
139C2×C4×Dic7C2311yescharacteristic
140C2×C4×Dic7C2311yescharacteristic
141C22×C7⋊C8C2311yescharacteristic
142C22×C7⋊C8C2311yescharacteristic
143#6453—28no—
144#6453—22no—
145#6453C2314yes—
146#6451—28no—
147#6451—22no—
148#6451C2314yes—
149#6442—28no—
150#6442—28no—
151#6441—28no—
152#6440—28no—
153#6433—22no—
154#6433—28no—
155#6433C2314yes—
156C4×Dic14—22no—
157C4×Dic14—28no—
158C4×Dic14D414yes—
159C4×Dic14C2314yes—
160C4×Dic14C2314yes—
161C7×C4⋊C8C2314yes—
162C7×#103C2314yes—
163C7×#102C2314yes—
164#6409C2314yes—
165#6409C2314yes—
166#6409C2314yes—
167#6406C2314yes—
168#6406C2314yes—
169#6392C2314yes—
170#6391C2314yes—
171#6390C2314yes—
172#6390C2314yes—
173#6389C2314yes—
174#6389C2314yes—
175Dic7⋊C8C2314yes—
176Dic7⋊C8C2314yes—
177#6384C2314yes—
178#6381C2314yes—
179C4×C7⋊C8C2314yes—
180C2×#557—71no—
181C2×#556—71no—
182#3377—716no—
183C2×#491—71no—
184C2×#489—71no—
185C2×#488—71no—
186C2×#479—71no—
187C2×#477—71no—
188C2×#478—71no—
189C2×#464—71no—
190C2×#464D711yescharacteristic
191C2×#462—71no—
192C2×#446—71no—
193C2×#441—71no—
194C2×#440—71no—
195C2×C4×Q16—71no—
196C24×C7—21no—
197C2×C7×Q8—21no—
198C2×C7×Q8—21no—
199C2×C7×Q8—22no—
200C2×C7×Q8—22no—
201C2×C7×Q8—22no—
202C2×C7×Q8#4114yes—
203C2×C7×Q8C2412yes—
204C2×C7×Q8C2412yes—
205C2×C7×D4—21no—
206C2×C7×D4—22no—
207C2×C7×D4—22no—
208C2×C7×D4C2412yes—
209C22×C4×C7—21no—
210C22×C4×C7—21no—
211C22×C4×C7—21no—
212C22×C4×C7C2×D411yescharacteristic
213C22×C4×C7C2×D411yescharacteristic
214C22×C4×C7C2411yescharacteristic
215C22×Dic7—21no—
216C22×Dic7—21no—
217C22×Dic7—21no—
218C22×Dic7—21no—
219C22×Dic7—24no—
220C22×Dic7—44no—
221C22×Dic7C2×D411yescharacteristic
222C22×Dic7C2×D411yescharacteristic
223C22×Dic7C2×D411yescharacteristic
224C22×Dic7C2×D411yescharacteristic
225C2×Dic14—22no—
226C2×Dic14—22no—
227C2×Dic14—21no—
228C2×Dic14—24no—
229C2×Dic14—42no—
230C2×Dic14—44no—
231C2×Dic14C2×D414yes—
232C2×Dic14C2412yes—
233C7×Q16—28no—
234C7×SD16—28no—
235C2×C7×C8—22no—
236C2×C7×C8—22no—
237C2×C7×C8C2412yes—
238C2×C7×C8C2412yes—
239C7×C4⋊C4—24no—
240C7×C4⋊C4—21no—
241C7×C4⋊C4C2412yes—
242C7×C22⋊C4—24no—
243C7×C22⋊C4—24no—
244C42×C7—24no—
245C42×C7C2×D412yes—
246C42×C7C2412yes—
247C22⋊Dic7—24no—
248C22⋊Dic7—24no—
249C22⋊Dic7—24no—
250#1144—28no—
251C4⋊Dic7—21no—
252C4⋊Dic7—21no—
253C4⋊Dic7—21no—
254C4⋊Dic7—24no—
255C4⋊Dic7—24no—
256C4⋊Dic7—24no—
257C4⋊Dic7—24no—
258C4⋊Dic7C2×D414yes—
259C4⋊Dic7C2412yes—
260C4⋊Dic7C2412yes—
261C4⋊Dic7C2412yes—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4C2×D414yes—
270Dic7⋊C4C2×D414yes—
271C4×Dic7—24no—
272C4×Dic7—24no—
273C4×Dic7—24no—
274C4×Dic7—24no—
275C4×Dic7C2×D412yes—
276C4×Dic7C2×D412yes—
277C4×Dic7C2412yes—
278C4×Dic7C2412yes—
279C2×C7⋊C8—22no—
280C2×C7⋊C8—22no—
281C2×C7⋊C8C2412yes—
282C2×C7⋊C8C2412yes—
283C22×Q16—71no—
284C22×Q16C2×D711yescharacteristic
285C22×SD16C2×D711yescharacteristic
286#557—78no—
287#557—144no—
288#556—78no—
289#556—144no—
290C2×C4⋊Q8—71no—
291C2×C4⋊Q8—71no—
292C2×C4⋊Q8—141no—
293C2×#126—141no—
294C2×#126—141no—
295C2×#125—71no—
296C2×#125—71no—
297C2×#125—141no—
298C2×#125—141no—
299C2×#124—71no—
300C2×#124C2×D711yescharacteristic
301C2×C22⋊Q8—141no—
302C2×C4×Q8—71no—
303C2×C4×Q8—71no—
304C2×C4×Q8—71no—
305C2×C4×Q8—71no—
306C2×C4×Q8—71no—
307C2×C4×Q8—141no—
308C2×C4×Q8C2×D711yescharacteristic
309C2×C4×D4—71no—
310C2×#117—141no—
311#491—78no—
312#489—78no—
313#488—78no—
314#479—78no—
315#478—78no—
316#477—78no—
317#464—78no—
318#464C2×D718yes—
319#462—78no—
320#446—78no—
321#441—78no—
322#440—78no—
323C4×Q16—78no—
324C2×#107—71no—
325C2×#107—71no—
326C2×#106—71no—
327C2×C4⋊C8—71no—
328C2×C4⋊C8—71no—
329C2×C4⋊C8C2×D711yescharacteristic
330C2×#103—71no—
331C2×#103—71no—
332C2×#103—71no—
333C2×#103—71no—
334C2×#103—71no—
335C2×#103—71no—
336C2×#103C2×D711yescharacteristic
337C2×#102—71no—
338C2×#102—71no—
339C2×#102C2×D711yescharacteristic
340C2×#97—71no—
341C2×#97—71no—
342C2×C4×C8—71no—
343C23×C7—22no—
344C23×C7—42no—
345C23×C7—42no—
346C23×C7—42no—
347C23×C7C22×D411yescharacteristic
348C7×Q8—24no—
349C7×Q8—22no—
350C7×Q8—22no—
351C7×Q8—22no—
352C7×Q8—42no—
353C7×Q8C2×#4114yes—
354C7×D4—22no—
355C7×D4—22no—
356C7×D4—42no—
357C2×C4×C7—24no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—22no—
363C2×C4×C7—42no—
364C2×C4×C7—42no—
365C2×C4×C7C22×D412yes—
366C2×C4×C7C22×D412yes—
367C2×C4×C7C22×D411yescharacteristic
368C2×C4×C7C2×#4112yes—
369C2×C4×C72−1+412yes—
370C2×C4×C7C2511yescharacteristic
371C2×Dic7—22no—
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—22no—
379C2×Dic7—48no—
380C2×Dic7—42no—
381C2×Dic7—42no—
382C2×Dic7—42no—
383C2×Dic7—42no—
384C2×Dic7C22×D412yes—
385C2×Dic7C22×D412yes—
386C2×Dic7C22×D412yes—
387C2×Dic7C22×D412yes—
388Dic14—22no—
389Dic14—22no—
390Dic14—44no—
391Dic14—48no—
392Dic14—42no—
393C7×C8—22no—
394C7×C8—22no—
395C7⋊C8—22no—
396C7⋊C8—22no—
397C22×Q8—71no—
398C22×Q8—71no—
399C22×Q8—141no—
400C22×Q8C22×D711yescharacteristic
401C22×Q8C22×D711yescharacteristic
402C22×D4C22×D711yescharacteristic
403C23×C4—141no—
404C2×Q16—24no—
405C2×Q16—74no—
406C2×Q16—144no—
407C2×Q16C22×D714yes—
408C2×SD16—24no—
409C2×SD16C22×D714yes—
410C22×C8—71no—
411C22×C8—71no—
412C22×C8C22×D711yescharacteristic
413C22×C8C22×D711yescharacteristic
414C4⋊Q8—74no—
415C4⋊Q8—74no—
416C4⋊Q8—142no—
417C4⋊Q8—142no—
418C4⋊Q8—148no—
419#126—148no—
420#126—148no—
421#125—74no—
422#125—74no—
423#125—148no—
424#125—142no—
425#125—148no—
426#125—142no—
427#124—22no—
428#124—74no—
429#124—142no—
430#124C22×D714yes—
431C22⋊Q8—148no—
432C4×Q8—22no—
433C4×Q8—74no—
434C4×Q8—74no—
435C4×Q8—74no—
436C4×Q8—74no—
437C4×Q8—74no—
438C4×Q8—74no—
439C4×Q8—148no—
440C4×Q8—142no—
441C4×Q8—142no—
442C4×Q8—142no—
443C4×Q8—142no—
444C4×Q8C22×D714yes—
445C4×D4—74no—
446C4×D4—142no—
447#117—148no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—71no—
450C2×C4⋊C4—71no—
451C2×C4⋊C4—71no—
452C2×C4⋊C4—71no—
453C2×C4⋊C4—71no—
454C2×C4⋊C4—71no—
455C2×C4⋊C4—141no—
456C2×C4⋊C4—141no—
457C2×C4⋊C4—141no—
458C2×C4⋊C4—141no—
459C2×C4⋊C4—141no—
460C2×C4⋊C4—141no—
461C2×C4⋊C4—141no—
462C2×C4⋊C4—141no—
463C2×C4⋊C4—141no—
464C2×C4⋊C4—141no—
465C2×C4⋊C4—141no—
466C2×C4⋊C4C22×D711yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—141no—
470C2×C22⋊C4—141no—
471C2×C22⋊C4—141no—
472C2×C42—21no—
473C2×C42—71no—
474C2×C42—71no—
475C2×C42—141no—
476C2×C42—141no—
477C2×C42—141no—
478C2×C42—141no—
479C2×C42C22×D711yescharacteristic
480#107—74no—
481#107—74no—
482#106—74no—
483C4⋊C8—74no—
484C4⋊C8—74no—
485C4⋊C8C22×D714yes—
486#103—74no—
487#103—74no—
488#103—74no—
489#103—74no—
490#103—74no—
491#103—74no—
492#103C22×D714yes—
493#102—74no—
494#102—74no—
495#102C22×D714yes—
496#97—74no—
497#97—74no—
498C4×C8—74no—
499C22×C7—42no—
500C22×C7—42no—
501C22×C7—42no—
502C22×C7—84no—
503C22×C7#54812yes—
504C22×C7#57512yes—
505C22×C7#57812yes—
506C22×C7C23×D411yescharacteristic
507C4×C7—24no—
508C4×C7—22no—
509C4×C7—22no—
510C4×C7—42no—
511C4×C7—42no—
512C4×C7#54812yes—
513C4×C7C22×#4111yescharacteristic
514C4×C7C2×2−1+411yescharacteristic
515Dic7—22no—
516Dic7—22no—
517Dic7—22no—
518Dic7—22no—
519Dic7—42no—
520Dic7—42no—
521Dic7—42no—
522Dic7—42no—
523C24—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—22no—
527C2×Q8—22no—
528C2×Q8—22no—
529C2×Q8—74no—
530C2×Q8—72no—
531C2×Q8—144no—
532C2×Q8—141no—
533C2×Q8—142no—
534C2×Q8—142no—
535C2×Q8—282no—
536C2×Q8—284no—
537C2×Q8#115914yes—
538C2×Q8C23×D712yes—
539C2×Q8C23×D712yes—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4C23×D712yes—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—71no—
548C22×C4—71no—
549C22×C4—71no—
550C22×C4—71no—
551C22×C4—144no—
552C22×C4—141no—
553C22×C4—141no—
554C22×C4—141no—
555C22×C4—141no—
556C22×C4—284no—
557C22×C4D4×D711yescharacteristic
558C22×C4D4×D711yescharacteristic
559C22×C4C23×D711yescharacteristic
560Q16—28no—
561Q16—148no—
562SD16—28no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—72no—
566C2×C8—72no—
567C2×C8—142no—
568C2×C8—142no—
569C2×C8C23×D712yes—
570C2×C8C23×D712yes—
571C4⋊C4—24no—
572C4⋊C4—21no—
573C4⋊C4—74no—
574C4⋊C4—74no—
575C4⋊C4—74no—
576C4⋊C4—72no—
577C4⋊C4—72no—
578C4⋊C4—72no—
579C4⋊C4—144no—
580C4⋊C4—144no—
581C4⋊C4—144no—
582C4⋊C4—144no—
583C4⋊C4—144no—
584C4⋊C4—144no—
585C4⋊C4—144no—
586C4⋊C4—144no—
587C4⋊C4—144no—
588C4⋊C4—144no—
589C4⋊C4—144no—
590C4⋊C4—141no—
591C4⋊C4—141no—
592C4⋊C4—141no—
593C4⋊C4C23×D712yes—
594C22⋊C4—24no—
595C22⋊C4—24no—
596C22⋊C4—144no—
597C22⋊C4—144no—
598C22⋊C4—144no—
599C42—24no—
600C42—72no—
601C42—72no—
602C42—72no—
603C42—72no—
604C42—144no—
605C42—144no—
606C42—144no—
607C42—144no—
608C42D4×D712yes—
609C42C23×D712yes—
610C2×C7—82no—
611C2×C7#337714yescomplemented
612C2×C7C2×#54811yescharacteristic
613C2×C7C2×#57511yescharacteristic
614C2×C7C2×#57811yescharacteristic
615C23—22no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23C2×D4×D711yescharacteristic
620Q8—24no—
621Q8—22no—
622Q8—22no—
623Q8—22no—
624Q8—42no—
625Q8—142no—
626Q8—142no—
627Q8—284no—
628Q8—288no—
629Q8—282no—
630Q8C2×#115914yes—
631D4—22no—
632D4—22no—
633D4—42no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—72no—
643C2×C4—72no—
644C2×C4—72no—
645C2×C4—72no—
646C2×C4—142no—
647C2×C4—142no—
648C2×C4—142no—
649C2×C4—142no—
650C2×C4—142no—
651C2×C4—142no—
652C2×C4—142no—
653C2×C4—142no—
654C2×C4—288no—
655C2×C4—282no—
656C2×C4—282no—
657C2×C4—282no—
658C2×C4—282no—
659C2×C4C2×D4×D712yes—
660C2×C4C2×D4×D712yes—
661C2×C4C2×D4×D711yescharacteristic
662C2×C4C2×#115912yes—
663C2×C4#655412yes—
664C2×C4C24×D711yescharacteristic
665C8—22no—
666C8—22no—
667C8—142no—
668C8—142no—
669C7C2×#337711yescharacteristic, complemented, Sylow
670C22—42no—
671C22—42no—
672C22—42no—
673C22—84no—
674C22#9028912yes—
675C22#9045912yes—
676C22#9047012yes—
677C22C22×D4×D711yescharacteristic
678C4—22no—
679C4—24no—
680C4—22no—
681C4—42no—
682C4—42no—
683C4—142no—
684C4—142no—
685C4—142no—
686C4—142no—
687C4—282no—
688C4—282no—
689C4—282no—
690C4—282no—
691C4#9028912yes—
692C4C22×#115911yescharacteristic
693C4C2×#655411yescharacteristic
694C2—82no—
695C2#1173803114yesdirect product factor
696C2C2×#9028911yescharacteristic
697C2C2×#9045911yescharacteristic
698C2C2×#9047011yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#464C2
socleC23×C7C22×D4
prime radicalC22×C7×D4C23
hypercenterC2×#464D7
hypocenterC7C2×#3377
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#464

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#90260C2semidirect
4. C2×#89954C2semidirect
5. C2×#89956C2semidirect
9. C2×C4×#1144C2semidirect
10. #11738031C2direct (N × H)
11. C2×#89601C2semidirect
12. C2×#89603C2semidirect
13. C2×#89569C2semidirect
14. C2×#89566C2semidirect
31. #90260C22semidirect
54. #89956C22semidirect
55. #89954C22semidirect
67. C4×#1144C22semidirect
71. #89603C22semidirect
72. #89601C22semidirect
73. #89569C22semidirect
74. #89566C22semidirect
611. C2×C7#3377semidirect
669. C7C2×#3377semidirect
695. C2#11738031direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#903622
C2×#902602
C2×C7×#4642
C2×#899542
C2×#899562
C2×#899382
C2×#899362
C2×#898282
C2×C4×#11442
#117380312
C2×#896012
C2×#896032
C2×#895692
C2×#895662
C2×#895372
C2×#895352
C2×#33777